Results 71 to 80 of about 879 (182)
Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
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Probabilistic Galois theory in function fields
Finite Fields and Their ApplicationsWe study the irreducibility and Galois group of random polynomials over function fields. We prove that a random polynomial $f=y^n+\sum_{i=0}^{n-1}a_i(x)y^i\in\mathbb F_q[x][y]$ with i.i.d coefficients $a_i$ taking values in the set $\{a(x)\in\mathbb{F}_q[x]: \mathrm{deg}\, a\leq d\}$ with uniform probability, is irreducible with probability tending to $
Alexei Entin, Alexander Popov
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Sets of Subspaces of a Projective Plane PG(2,q) Over Galois Field GF(q)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this thesis, some sets of subspaces of projective plane PG(2,q) over Galois field GF(q) and the relations between them by some theorems and examples can be shown.
M. J. Mahammad
doaj
Quasifinite fields of prescribed characteristic and Diophantine dimension
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet ℙ be the set of prime numbers, ℙ the union ℙ ∪ {0}, and for any field E, let char(E) be its characteristic, ddim(E) the Diophantine dimension of E, 𝒢E the absolute Galois group of E, and cd(𝒢E) the Galois cohomological dimension 𝒢E.
Chipchakov Ivan D., Paunov Boyan B.
doaj +1 more source
Resource Shared Galois Field Computation for Energy Efficient AES/CRC in IoT Applications. [PDF]
IEEE Trans Sustain Comput, 2019 Noor SM, John EB.
europepmc +1 more source
Classification and Construction of (k,3)-Arcs on Projective Plane Over Galois Field GF(7)
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of this work is to study the classification and construction of (k,3)-arcs in the projective plane PG(2,7). We found that there are two (5,3)-arcs, four (6,3)-arcs, six (7,3)arcs, six (8,3)-arcs, seven (9,3)-arcs, six (10,3)-arcs and six ...
Adil M. Ahmad +2 more
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Designing A Computer Program to Determine the Points and Planes in 3-Dimensional Projective Space
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The purpose of this work is to determine the points and planes of 3-dimensional projective space PG(3,2) over Galois field GF(q), q=2,3 and 5 by designing a computer program.
A. S. Al-Mukhtar, J.N. Jassim
doaj
Improving the efficiency of using multivalued logic tools: application of algebraic rings. [PDF]
Sci Rep, 2023 Suleimenov IE +3 more
europepmc +1 more source
Seminuclear Extensions of Galois Fields
American Journal of Mathematics, 1960 Hughes, D. R., Kleinfeld, Erwin
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The Arithmetic of Polynomials in a Galois Field
American Journal of Mathematics, 1931 openaire +4 more sources